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A unified equation is employed to analytically investigate the scattering of massless spin particles by a Schwarzschild-type medium black hole. It is found that for spin particles, curved spacetime induces an effective complex potential…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Zhong-Heng Li

Black holes have their proper oscillations, which are called the quasi-normal modes. The proper oscillations of astrophysical black holes can be observed in the nearest future with the help of gravitational wave detectors. Quasi-normal…

General Relativity and Quantum Cosmology · Physics 2009-05-26 Alexander Zhidenko

Many different cosmological models have been proposed to address the cosmological constant problem and the coincidence problem. We compare here four different models that can be used to describe an effective (time-dependent) cosmological…

General Relativity and Quantum Cosmology · Physics 2015-10-28 Cecilia Chirenti , Manuela G. Rodrigues

Using accurate computational methods, we compute the quasinormal frequencies of a massive scalar field propagating near a black hole in the framework of non-minimal Einstein-Yang-Mills theory with a non-zero cosmological constant. We show…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Alexey Dubinsky

Applying Dirac's procedure to $r$-dependent constrained systems, we derive a reduced total Hamiltonian, resembling an upside down harmonic oscillator, which generates the Schwarzschild solution in the mini super-spacetime. Associated with…

General Relativity and Quantum Cosmology · Physics 2014-02-03 Aharon Davidson , Ben Yellin

We study environmental echoes induced by a weak potential barrier outside a Schwarzschild black hole. In the low-finesse limit, the time domain response is governed by a sequence of transient wave packets formed by finite round-trip…

General Relativity and Quantum Cosmology · Physics 2026-03-18 Han-Wen Hu , Cheng-Jun Fang , Zong-Kuan Guo

In this paper, we evaluated the quasinormal modes of electromagnetic perturbation in a Schwarzschild black hole surrounded by the static spherically symmetric quintessence by using the third-order WKB approximation when the quintessential…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yu Zhang , Yuanxing Gui , Fei Yu , Fenglin Li

We discuss the problem of the quantization and dynamic evolution of a scalar free field in the interior of a Schwarzschild black hole. A unitary approach to the dynamics of the quantized field is proposed: a time-dependent Hamiltonian…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Pawel Gusin , Andrzej Radosz , Andy T. Augousti , Janos Polonyi , Oleg B. Zaslavskii , Romuald J. 'Sciborski

We present a discussion of the periodicity in imaginary time of maximally extended black hole spacetimes without reference to Euclidean manifolds. As motivation, we first demonstrate our approach for the Rindler geometry in flat space…

General Relativity and Quantum Cosmology · Physics 2024-08-28 Bernardo Araneda , Bernard F. Whiting

The ringdown phase of gravitational waves emitted by a perturbed black hole is described by a superposition of exponentially decaying sinusoidal modes, called quasinormal modes (QNMs), whose frequencies depend only on the property of the…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Che-Yu Chen , Petr Kotlařík

We study the problem of plane monochromatic scalar waves impinging upon a Schwarzschild dirty black hole -- a Schwarzschild black hole surrounded by a thin spherical shell of matter -- using the complex angular momentum approach. We first…

General Relativity and Quantum Cosmology · Physics 2023-03-15 Theo Torres , Mohamed Ould El Hadj , Shi-Qian Hu , Ruth Gregory

In this work, we wish to address the question -- whether the quasi-normal modes, the characteristic frequencies associated with perturbed black hole spacetimes, central to the stability of these black holes, are themselves stable. Though…

General Relativity and Quantum Cosmology · Physics 2023-11-07 Subhodeep Sarkar , Mostafizur Rahman , Sumanta Chakraborty

We compute the quasinormal frequencies for scalar and electromagnetic perturbations of an improved Schwarzschild geometry in the framework of asymptotically safe gravity, which is one of the approaches to quantum gravity. Adopting the…

General Relativity and Quantum Cosmology · Physics 2020-07-03 Angel Rincon , Grigoris Panotopoulos

Obtaining black hole solutions in alternative theories of gravity can be a difficult task due to cumbersome field equations that arise in many of such theories. In order to study the strong field regime in a model-free approach, one can…

General Relativity and Quantum Cosmology · Physics 2021-12-03 Renan B. Magalhães , Luiz C. S. Leite , Luís C. B. Crispino

A massless scalar field minimally coupled to gravity and propagating in the Schwarzschild spacetime is considered. After dimensional reduction under spherical symmetry the resulting 2D field theory is canonically quantized and the…

High Energy Physics - Theory · Physics 2008-11-26 R. Balbinot , A. Fabbri , V. Frolov , P. Nicolini , P. Sutton , A. Zelnikov

We investigate how GWs pass through the spacetime of a Schwarzschild black hole using time-domain numerical simulations. Our work is based on the perturbed 3+1 Einstein's equations up to the linear order. We show explicitly that our…

General Relativity and Quantum Cosmology · Physics 2022-12-29 Jian-hua He , Zhenyu Wu

The scalar wave equation is considered in the background of a charged Vaidya metric in double null coordinates $(u,v)$ describing a non-stationary charged black hole with varying mass $m(v)$ and charge $q(v)$. The resulting time-dependent…

General Relativity and Quantum Cosmology · Physics 2011-09-28 Cecilia Chirenti , Alberto Saa

We study the propagation of scalar fields in the background of $2+1$-dimensional Coulomb like AdS black holes, and we show that such propagation is stable under Dirichlet boundary conditions. Then, we solve the Klein-Gordon equation by…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Almendra Aragón , P. A. González , Joel Saavedra , Yerko Vásquez

We investigate the massless scalar quasinormal modes (QNMs) of the noncommutative $D$-dimensional Schwarzschild-Tangherlini black hole spacetime in this paper. By using the Wentzel-Kramers-Brillouin (WKB) approximation method, the…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Zening Yan , Chen Wu , Wenjun Guo

The accurate computation of quasinormal modes from rotating black holes beyond general relativity is crucial for testing fundamental physics with gravitational waves. In this study, we assess the accuracy of the eikonal and post-Kerr…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Ciro De Simone , Sebastian H. Völkel , Kostas D. Kokkotas , Vittorio De Falco , Salvatore Capozziello